Question

A line through (-2, 1)
With slope = 1/4

Answer 1

`y=(1)/(4)x+(3)/(2)`

Explanation:

A line has the following equation

`y=mx+b\\\\\longrightarrow m=slope\\\\m=(1)/(4)\:given\\\\\longrightarrow b= constant\\\\\Rightarrow y=(1)/(4)x+b\\\\(-2,1)\rightarrow\:x=-2,\:y=1\\\\(1)=(1)/(4)(-2)+b\\\\1=-(1)/(2)+b\\\\b=1+(1)/(2)\\\\b=(2)/(2)+(1)/(2)\\\\b=(3)/(2)\\\\\Longrightarrow y=(1)/(4)x+(3)/(2)`

Answer 2

y = 1/4x + 1.5

Explanation:

To solve a problem like this we can use the formula y - y1 = m(x - x1), in which y1 is the y coordinate, x1 is the x coordinate, and m is the slope.

Equation:

y - 1 = 1/4(x + 2)

y - 1 = 1/4x + 0.5

y = 1/4x + 1.5